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Finding the Fourth Proportional to 497,365.76, 686,343.30 and 282,505.16

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Solution

The fourth proportional to 497,365.76, 686,343.30 and 282,505.16 is: 389,844.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,365.76 : 686,343.30 = 282,505.16 : x
  2. Step 2: Convert to fraction form
    497,365.76/686,343.30 = 282,505.16/x
  3. Step 3: Cross multiply
    497,365.76x = 686,343.30 × 282,505.16
  4. Step 4: Simplify right side
    497,365.76x = 193,895,523,781.43
  5. Step 5: Solve for x
    x = 193,895,523,781.43/497,365.76
  6. Step 6: Final answer
    x = 389,844.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.